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Research Article | Open Access

On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations

Department of Mathematics, College of Science, Qassim University, Buraydah 51452, Saudi Arabia
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Abstract

In this paper, we obtain some oscillatory properties for the noncanonical second-order differential equation with mixed neutral terms. We established our results first by transforming the equation into canonical type and then by using the Riccati technique to get new oscillatory properties for the considered equation. We obtained these results to extend and simplify existing criteria in the literature. We discussed some examples to illustrate the effectiveness of our main results.

Keywords

mixed neutraldifferential equationsoscillation conditionssecond-orderdelay
CLC number: 34C10, 34K11

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AIMS Mathematics
Volume 9 Issue 12,
December 2024
Pages 36191-36201
DOI: 10.3934/math.20241718

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Cite this article:
Alkilayh M. On The oscillatory behavior of solutions to a class of second-order nonlinear differential equations. AIMS Mathematics, 2024, 9(12): 36191-36201. https://doi.org/10.3934/math.20241718

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Received: 14 October 2024
Revised: 18 November 2024
Accepted: 29 November 2024
Published: 15 December 2024
©2024 the Author(s), licensee AIMS Press.

This is an open access article distributed under the terms of the Creative Commons Attribution License (https://creativecommons.org/licenses/by/4.0)